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Finding the Fourth Proportional to 328.98, 490.88 and 292.44

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Solution

The fourth proportional to 328.98, 490.88 and 292.44 is: 436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.98 : 490.88 = 292.44 : x
  2. Step 2: Convert to fraction form
    328.98/490.88 = 292.44/x
  3. Step 3: Cross multiply
    328.98x = 490.88 × 292.44
  4. Step 4: Simplify right side
    328.98x = 143,551.49
  5. Step 5: Solve for x
    x = 143,551.49/328.98
  6. Step 6: Final answer
    x = 436.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.